update in ground_2, static_2, basic_2, apps_2, alpha_1

[helm.git] / matita / matita / contribs / lambdadelta / ground_2 / relocation / mr2_plus.ma

diff --git a/matita/matita/contribs/lambdadelta/ground_2/relocation/mr2_plus.ma b/matita/matita/contribs/lambdadelta/ground_2/relocation/mr2_plus.ma
index 94c5610326e209ed885cb6fc9f631fa3b7585776..041ed014c6f45fbfd4aa27d7ca9389cc865086a2 100644 (file)
--- a/matita/matita/contribs/lambdadelta/ground_2/relocation/mr2_plus.ma
+++ b/matita/matita/contribs/lambdadelta/ground_2/relocation/mr2_plus.ma
@@ -18,7 +18,7 @@ include "ground_2/relocation/mr2.ma".
 
 rec definition pluss (cs:mr2) (i:nat) on cs ≝ match cs with
 [ nil2         ⇒ ◊
-| cons2 l m cs ⇒ {l + i,m};pluss cs i
+| cons2 l m cs ⇒ ❨l + i,m❩;pluss cs i
 ].
 
 interpretation "plus (multiple relocation with pairs)"
@@ -26,7 +26,7 @@ interpretation "plus (multiple relocation with pairs)"
 
 (* Basic properties *********************************************************)
 
-lemma pluss_SO2: ∀l,m,cs. ({l,m};cs) + 1 = {↑l,m};cs + 1.
+lemma pluss_SO2: ∀l,m,cs. (❨l,m❩;cs) + 1 = ❨↑l,m❩;cs + 1.
 normalize // qed.
 
 (* Basic inversion lemmas ***************************************************)
@@ -36,8 +36,8 @@ lemma pluss_inv_nil2: ∀i,cs. cs + i = ◊ → cs = ◊.
 #l #m #cs #H destruct
 qed.
 
-lemma pluss_inv_cons2: ∀i,l,m,cs2,cs. cs + i = {l,m};cs2 →
-                       ∃∃cs1. cs1 + i = cs2 & cs = {l - i,m};cs1.
+lemma pluss_inv_cons2: ∀i,l,m,cs2,cs. cs + i = ❨l,m❩;cs2 →
+                       ∃∃cs1. cs1 + i = cs2 & cs = ❨l - i,m❩;cs1.
 #i #l #m #cs2 *
 [ normalize #H destruct
 | #l1 #m1 #cs1 whd in ⊢ (??%?→?); #H destruct